Inequalities
Given the numbers \(-2\) and \(3\) marked on the number line below.
The relation between these numbers is shown as \(-2<3\)
Perform the following calculations to determine the nature of the inequality.
| Operation | Write the statement | Show the new relation |
| Add \(2\) to each | \(-2 + 2 < 3 + 2\) | \(0<5\) |
| Subtract \(4\) from each | ||
| Add \(– 2\) to each | ||
| Subtract \(– 4\) from each | ||
| Multiply each by \(3\) | ||
| Multiply each by \(-1\) | ||
| Divide each by \(2\) | ||
| Divide each by \(-1\) |
- As you add or subtract, how does the inequality change?
- As you multiply or divide, how does the inequality change?
- Make a conjecture regarding the nature of the inequality when you add, subtract, multiple, or divide.
